And finally, a comment on "previous" and "current" information.
I am not trying to describe any algorithm whatsoever. Not at all. But I do know what framework Nature must use for information processing. I do know why certain aspects of information use must be the way they are. My work is in the much broader context that looking at some clever algorithms as a hammer, and everything in physics as a nail. That would be naive. I hope you are not suggesting that.
One of the questions is: what are the minimum requirements for reality to exist, so that it has any virtue of memory whatsoever? If you can remember your post, the reality you live in has a virtue of memory. A memory of any kind cannot exist unless at least two information snapshots can be used at the same time. This is a very important question that's covered in the book in the great detail.
There are many other questions that are not posed in the essay or these comments. They, and the accompanying answers, paint a much clearer picture. Yes, the book.
I do understand that traditional physics has a lot of charm to it. For example, Einstein was able to present his postulates of Special Relativity in very little space. That's lovely.
But no one knows why these postulates work. They are purely based on observations. They are a band-aid on a gaping wound that is open in our body of knowledge. I know that by far most physicists understand this. Presenting a viable alternative is much harder to accomplish. I offer that, and it will stand the test of time. I offer formation-by-information and I present a deduction of facts we had to accept as such. Why is the speed of light constant? Why light exists in the first place? What is mass? What is gravity? Why is there uncertainty? Why time apparently slows down in some cases?
If you think I can answer all this in an essay and a few comments, then I bow to your optimism, even if the math I used is mostly high school grade. If reading the book is that hard, then perhaps you should wait for the movie.